While aggregate reasoning is a core aspect of statistical reasoning, its development is a key challenge in statistics education. In this study we examine how students’ aggregate reasoning with samples and sampling (ARWSS) can emerge in the context of statistical modeling activities of real phenomena. We present a case study on the emergent ARWSS of two pairs of sixth graders (age 11–12) involved in statistical data analysis and informal inference utilizing TinkerPlots. The students’ growing understandings of various statistical concepts is described and five perceptions the students expressed are identified. We discuss the contribution of modeling to these progressions followed by conclusions and limitations of these results. While idiosyncratic, the insights contribute to the understanding of students’ aggregate reasoning with data and models, with regards to samples and sampling.
|Number of pages||17|
|Journal||ZDM - International Journal on Mathematics Education|
|State||Published - 1 Dec 2018|
Bibliographical noteFunding Information:
Acknowledgements This research was supported by the University of Haifa and the I-CORE Program of the Planning and Budgeting Committee and the Israel Science Foundation Grant 1716/12. We deeply thank the Connections research team and the anonymous reviewers of earlier versions of this manuscript.
© 2018, FIZ Karlsruhe.
- Aggregate statistical reasoning
- Exploratory data analysis
- Informal statistical inference
- Sample and sampling
- Statistical model and modeling
ASJC Scopus subject areas
- Mathematics (all)